Information on Result #640459
Linear OA(9139, 183, F9, 79) (dual of [183, 44, 80]-code), using concatenation of two codes based on
- linear OA(8139, 61, F81, 39) (dual of [61, 22, 40]-code or 61-arc in PG(38,81)), using
- discarding factors / shortening the dual code based on linear OA(8139, 81, F81, 39) (dual of [81, 42, 40]-code or 81-arc in PG(38,81)), using
- Reed–Solomon code RS(42,81) [i]
- discarding factors / shortening the dual code based on linear OA(8139, 81, F81, 39) (dual of [81, 42, 40]-code or 81-arc in PG(38,81)), using
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9138, 182, F9, 78) (dual of [182, 44, 79]-code) | [i] | Truncation | |
| 2 | Linear OOA(9139, 91, F9, 2, 79) (dual of [(91, 2), 43, 80]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9139, 61, F9, 3, 79) (dual of [(61, 3), 44, 80]-NRT-code) | [i] | ||